On the symplectic type of isomorphisms of the 𝑝-torsion of elliptic curves

DOI10.1090/memo/1361OpenAlexW4220977032MaRDI QIDQ5097130

Alain Kraus, Nuno Freitas

Publication date: 19 August 2022

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.01218

zbMATH Keywords

local fieldselliptic curvestorsion pointsWeil pairingsymplectic isomorphism

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Research exposition (monographs, survey articles) pertaining to number theory (11-02) Higher degree equations; Fermat's equation (11D41) Elliptic curves over local fields (11G07)

Related Items

Ideal class groups of number fields and Bloch-Kato's Tate-Shafarevich groups for symmetric powers of elliptic curves ⋮ AN APPLICATION OF THE MODULAR METHOD AND THE SYMPLECTIC ARGUMENT TO A LEBESGUE–NAGELL EQUATION ⋮ Two results on 𝑥^{𝑟}+𝑦^{𝑟}=𝑑𝑧^{𝑝} ⋮ Wild Galois representations: Elliptic curves over a 2-adic field with non-abelian inertia action ⋮ On the degree of the $p$-torsion field of elliptic curves over $\mathbb Q_\ell $ for $\ell \not =p$ ⋮ The generalized Fermat equation with exponents 2, 3,

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